a delivery truck is transporting boxes of two sizes: large and small. the combined weight of a large box and a small box is 75 pounds. the truck is transporting 50 large boxes and 70 small boxes. if the truck is carrying a total of 4450 pounds in boxes, how much does each type of box weigh?

The weights of small and large boxes are 35 pounds and 40 pounds respectively.

Solution:

Given, A delivery truck is transporting boxes of two sizes: large and small.

The combined weight of a large box and a small box is 75 pounds.

The truck is transporting 50 large boxes and 70 small boxes.

And the truck is carrying a total of 4450 pounds in boxes,

We have to find how much does each type of box weigh?

Now, let the weight of small box be "s" pounds, then weight of large box will be 75 - s pounds.

According to the given information,

50 x (75 - s) + 70 x s = 4450

50 x 75 - 50s + 70s = 4450

70s - 50s = 4450 - 3750

20s = 700

2s = 70

s = 35

So, weight of small box is 35 pounds, then weight of large box is 75 - 35 = 40 pounds.

Hence, the weights of small and large boxes are 35 pounds and 40 pounds respectively.